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Intuitionistic Model Constructions and Normalization Proofs (1998)  (Make Corrections)  (33 citations)
Thierry Coquand, Peter Dybjer
Mathematical Structures in Computer Science



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Abstract: We investigate semantical normalization proofs for typed combinatory logic and weak -calculus. One builds a model and a function `quote' which inverts the interpretation function. A normalization function is then obtained by composing quote with the interpretation function. Our models are just like the intended model, except that the function space includes a syntactic component as well as a semantic one. We call this a `glued' model because of its similarity with the glueing construction in... (Update)

Cited by:   More
An Operational Foundation for Delimited Continuations.. - Biernacka, Biernacki.. (2004)   (Correct)
From Reduction-Based to Reduction-Free Normalization - Danvy (2004)   (Correct)
A Denotational Account of Untyped Normalization by Evaluation - Filinski, Rohde (2003)   (Correct)

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0.8:   Intuitionistic Model Constructions and Normalization Proofs - Coquand, Dybjer (1996)   (Correct)
0.5:   Martin-Löf's Type Theory - Nordström, Petersson, Smith   (Correct)
0.5:   Implementing a Category of Sets in ALF - Gaspes (1994)   (Correct)

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0.3:   On Equivalence and Canonical Forms in the LF Type Theory.. - Harper, Pfenning (1999)   (Correct)
0.2:   Inductive Definitions and Type Theory: An Introduction - Coquand, Dybjer   (Correct)
0.2:   Reduction-free normalisation for system F - Altenkirch, Hofmann, Streicher (1996)   (Correct)

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19:   Categorical reconstruction of a reduction free normalization proof - Altenkirch, Hofmann et al. - 1995
17:   Type-directed partial evaluation - Danvy
16:   An inverse of the evaluation functional for typed -calculus (context) - Berger, Schwichtenberg - 1991

BibTeX entry:   (Update)

Thierry Coquand and Peter Dybjer. Intuitionistic model constructions and normalization proofs. Mathematical Structures in Computer Science, 7:73--94, 1997. http://citeseer.ist.psu.edu/article/coquand98intuitionistic.html   More

@article{ coquand97intuitionistic,
    author = "Thierry Coquand and Peter Dybjer",
    title = "Intuitionistic Model Constructions and Normalization Proofs",
    journal = "Mathematical Structures in Computer Science",
    volume = "7",
    number = "1",
    pages = "75-94",
    year = "1997",
    url = "citeseer.ist.psu.edu/article/coquand98intuitionistic.html" }
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236   Intuitionistic Type Theory (context) - Martin-Lof - 1984
218   The mechanical evaluation of expressions (context) - Landin - 1964
92   Explicit substitutions - Abadi, Cardelli et al. - 1990  ACM   DBLP
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62   Programming in Martin-Lof 's Type Theory: an Introduction (context) - Nordstrom, Petersson et al. - 1990
42   Program extraction from normalization proofs (context) - Berger - 1993  ACM   DBLP
41   Inductive sets and families in Martin-Lof's type theory and .. - Dybjer - 1991
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23   Der wahrheitsbegriff in den formalisierten sprachen (context) - Tarski - 1936
22   An intuitionistic theory of types (context) - Martin-Lof - 1972
18   About models for intuitionistic type theories and the notion.. (context) - Martin-Lof - 1975
14   Efficient self-interpretation in lambda calculus (context) - AE - 1992
8   An inverse to the evaluation functional for typed -calculus (context) - Berger, Schwichtenberg - 1991
8   Extraction of redundancy-free programs from constructive nat.. (context) - Takayama
7   Residual theory in -calculus: a complete Gallina development (context) - Huet - 1993
6   Implantation de Langages de Programmation guidee par la Logi.. (context) - Lafont, Categories - 1988
5   Metacircularity in the polymorphic lambda-calculus (context) - Pfenning, Lee - 1991  DBLP
2   Machine checked normalization proofs for typed combinator ca.. (context) - Gaspes, Smith - 1992
2   Analysis of simply typed lambda-calculus in ALF (context) - Coquand - 1993
1   A formalisation of the strong normalization proof for System.. (context) - Altenkirch - 1993



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.cs.chalmers.se/~peterd/):   More
Final Report - Febr Ua Ry   (Correct)
A Finite Axiomatization of Inductive-Recursive Definitions - Dybjer, Setzer (1998)   (Correct)
Inductive Definitions and Type Theory: An Introduction - Coquand, Dybjer   (Correct)

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